The operational amplifier A basic building block in many electrical circuits First used to implement mathematical operations (addition, integration, etc.) Also called the op amp
Op amp Eight-lead DIP package
Op amp, cont. Circuit symbol
Op amp, cont. Terminal voltage and currents
Op amp, cont. The output voltage is a function of the input voltage difference Linear region: vo = A (vp - vn) A ≥ 104
Op amp, cont. Idealized operational amplifier A -> ∞ -> vn = vp Input resistance -> ∞ -> in = ip = 0 Note: in + ip + io + i1 + i2 = 0 io = - i1 - i2
Inverting amplifier
Inverting amplifier, cont.
Classwork #2 Find vo